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Finding the Fourth Proportional to 209.95, 314.76 and 107.12

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Solution

The fourth proportional to 209.95, 314.76 and 107.12 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.95 : 314.76 = 107.12 : x
  2. Step 2: Convert to fraction form
    209.95/314.76 = 107.12/x
  3. Step 3: Cross multiply
    209.95x = 314.76 × 107.12
  4. Step 4: Simplify right side
    209.95x = 33,717.09
  5. Step 5: Solve for x
    x = 33,717.09/209.95
  6. Step 6: Final answer
    x = 160.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.